A note from Mrs. L. - If you put an equal sign, there can't be any space between it and other things or it takes it as computer code. Also the tilde key means something in computer code so you probably shouldn't use it.

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10/10/07 Homework Check - click for a large version!

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Some rules and properties for Chapter 2:

• Identity Property of Addition: For every real number, n, n+0=n and 0+n=n
  examples: –5+0=–5 and 0+5=5
• Inverse property of addition: For every real number, n, there is an additive inverse -n such that n + (-n)=0
  examples: 17+(-17)=0 and -17+17=0
• Identity property of Multiplication: For every real number, n, 1(n)= n
• Multiplication property of zero: For every real number, n, n(0)=0
• Multiplication property of -1: For every real number, n, -1(n)= -n
• Inverse property of multiplication: For every nonzero real number, a, there is a multiplication inverse 1/a such that a(1/a)=1.
• Distributive property: For every real number, a,b,and c:

a(b+c) =ab+ac
(b+c)a=ba+ca
a(b-c)=ab-ac
(b-c)a=ba-ca

• Communtative property of addition: For every real number a, and b, a+b=b+a
• Communtative property of multiplication: For every real number a and b, a(b)= b(a)
• Associative property of addition: For every real number a, b and c, (a+b)+c=a+ (b+c).
• Associative property of multiplication: For every real number a, b, and c, [(a)(b)](c)=a[b(c)]
• Probability Formula: P(event)= Number of favorable outcomes divided by number of possible outcomes
• Probability of Complement Formula: P(event)+P(not event)=1; P(not event)=1-P(event)
• Probability of two independent events: If A and B are independent events, P(A and B)=P(A)*P(B)
• Probability of two dependent events: If A and B are dependent events, P(A and B)=P(A) * P(B after A)